Question 6
1 point
In chemistry the volume for a certain gas is given by V=25TV=25T, where VV is measured in cc and TT is temperature in °C°C. If the temperature varies between 90°C90°C and 110°C110°C , find the set of volume values.
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Do not enter any commas in your answer.
The range of the volume is cc.
Question 7
1 point
Describe all the xx-values within or including a distance of 44 units from the number 88.
Enter your answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 8
1 point
Write the set in interval notation.
{x|−4<x≤8}x|−4<x≤8
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 9
1 point
Solve the inequality involving absolute value.
|x+4|≥−9x+4≥−9
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 10
1 point
Solve the inequality.
4x−10≤64x−10≤6
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 11
1 point
Solve the inequality.
−4(x−1)+2>2x−3−3x−4x−1+2>2x−3−3x
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 12
1 point
Solve the inequality involving absolute value.
|x−3|+4≥10x−3+4≥10
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 13
1 point
Solve the compound inequality.
2x−8<−142x−8<−14 or 7x+2≥97x+2≥9
Enter the exact answer in interval notation.
Question 14
1 point
Solve the equation for xx.
5x+5=3x−85x+5=3x−8
Enter the exact answer. Improper fractions are acceptable solutions.
x=x=
Question 15
1 point
Solve the equation for xx.
x+27−x−16=2x+27−x−16=2
Enter the exact answer.
x=x=
Question 16
1 point
Solve the equation for x.
4(x+3)−42=184x+3−42=18
x=
Question 17
1 point
Solve for xx.
6(x+3)−27=x+66x+3−27=x+6
Enter the exact answer.
x=x=
Question 18
2 points
Solve for xx.
13+3x=141513+3x=1415
Enter the exact answer.
x=x=
State all xx-values that are excluded from the solution set.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;62;4;6 or x+1;x−1x+1;x−1). The order of the list does not matter.
x≠
Question 19
1 point
Solve the inequality.
−3x+4>x−20−3x+4>x−20
Enter the exact answer in interval notation.
Question 20
1 point
Solve the compound inequality.
−5<2x+3≤30−5<2x+3≤30
Enter the exact answer in interval notation. Improper fractions are acceptable in the interval notation.